129464400 has 240 divisors, whose sum is σ = 459373376. Its totient is φ = 30965760.

The previous prime is 129464399. The next prime is 129464437. The reversal of 129464400 is 4464921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×129464400² = 33522061734720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670704 + ... + 670896.

Almost surely, 2^129464400 is an apocalyptic number.

129464400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229686688).

129464400 is an abundant number, since it is smaller than the sum of its proper divisors (329908976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129464400 is a wasteful number, since it uses less digits than its factorization.

129464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 129464400 is about 11378.2423950274. The cubic root of 129464400 is about 505.8830414947.

It can be divided in two parts, 129 and 464400, that multiplied together give a square (59907600 = 7740²).

The spelling of 129464400 in words is "one hundred twenty-nine million, four hundred sixty-four thousand, four hundred".